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CORR
2010
Springer
138views Education» more  CORR 2010»
13 years 7 months ago
Shallow Circuits with High-Powered Inputs
A polynomial identity testing algorithm must determine whether an input polynomial (given for instance by an arithmetic circuit) is identically equal to 0. In this paper, we show ...
Pascal Koiran
JC
2007
119views more  JC 2007»
13 years 7 months ago
Factoring bivariate sparse (lacunary) polynomials
We present a deterministic algorithm for computing all irreducible factors of degree ≤ d of a given bivariate polynomial f ∈ K[x, y] over an algebraic number field K and their...
Martin Avendano, Teresa Krick, Martín Sombr...
CORR
2010
Springer
103views Education» more  CORR 2010»
13 years 5 months ago
Least Squares Superposition Codes of Moderate Dictionary Size, Reliable at Rates up to Capacity
Sparse superposition codes are developed for the additive white Gaussian noise channel with average codeword power constraint. Codewords are linear combinations of subsets of vecto...
Andrew R. Barron, Antony Joseph
JAT
2006
73views more  JAT 2006»
13 years 7 months ago
Factorization of multivariate positive Laurent polynomials
Abstract. Recently M. Dritschel proved that any positive multivariate Laurent polynomial can be factorized into a sum of square magnitudes of polynomials. We first give another pro...
Jeffrey S. Geronimo, Ming-Jun Lai
JACM
2000
119views more  JACM 2000»
13 years 7 months ago
A subdivision-based algorithm for the sparse resultant
Multivariate resultants generalize the Sylvester resultant of two polynomials and characterize the solvability of a polynomial system. They also reduce the computation of all comm...
John F. Canny, Ioannis Z. Emiris